1/2x^2=8x-5/8

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Solution for 1/2x^2=8x-5/8 equation: 


x in (-oo:+oo)

(1/2)*x^2 = 8*x-(5/8) // - 8*x-(5/8)

(1/2)*x^2-(8*x)+5/8 = 0

(1/2)*x^2-8*x+5/8 = 0

1/2*x^2-8*x+5/8 = 0

DELTA = (-8)^2-(1/2*5/8*4)

DELTA = 251/4

DELTA > 0

x = ((251/4)^(1/2)+8)/(1/2*2) or x = (8-(251/4)^(1/2))/(1/2*2)

x = (251/4)^(1/2)+8 or x = 8-(251/4)^(1/2)

x in { 8-(251/4)^(1/2), (251/4)^(1/2)+8 }

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